The Kuranishi map for moduli of vector bundles on surfaces of general type.

Abstract: We use the Kuranishi map to study moduli of rank two vector bundles on surfaces of general type, focusing on the case of product of smooth projective curves. More concretely, we compare the set of stable bundles to the irreducible component of the stack containing them and prove that they have the same homology at a range bounded by $c_2$.

This is joint work with E. Ballico, E. Gasparim, and B. Suzuki.

Mathematics

Audience: researchers in the topic

Seminario de Geometría y Física - Matemática UCN-USP